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Zbl 1081.53006
Mladenov, Iva\"ilo M.
Conformal immersions of Delaunay surfaces and their duals. (English)
[A] Mladenov, Iva\"ilo M. (ed.) et al., Proceedings of the 5th international conference on geometry, integrability and quantization, Sts. Constantine and Elena, Bulgaria, June 5--12, 2003. Sofia: Bulgarian Academy of Sciences. 158-168 (2004). ISBN 954-84952-8-7/pbk

Author's abstract: A few explicit formulas providing conformal coordinates of axially symmetric constant mean curvature surfaces introduced by Delaunay and their duals are derived. These results give also new examples in a long line of research connected with finding isothermic immersions of surfaces and their duals.
[Stefka Hineva (Sofia)]
MSC 2000:
*53A05 Surfaces in Euclidean space
53A30 Conformal differential geometry

Keywords: conformal coordinates; isothermic immersions

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